All categories

2 years ago

A satellite television receiver is a parabolic dish with an equation of y=1/32 x^2

Mathematics

1 answer:

choli [55]2 years ago

4 0

Step-by-step explanation:

The equation of a parabola that relates it focus is

${x}^{2} = 4py$

So here, we isolate x^2.

$y = \frac{1}{32} {x}^{2}$

$32y = {x}^{2}$

Next, we factor out 4.

${x}^{2} = 4(8)(y)$

Our p=8 so this tells us the distance of the vertex to the focus.

You might be interested in

1. Solve and verify each of the following systems of linear equations. SHOW ALL WORK PLEASE AND THANK YOU

storchak [24]

Answer:

Step-by-step explanation:

(a)

Given the system of equation:

$5x-2y=-6$ .....[1]

$2x-y=1$ .....[2]

Multiply equation [2] by -2 we get;

$-4x + 2y = -2$ ......[3]

Add equation [1] and [3] to eliminate y and solve for x we have;

$5x -2y+(-4x+2y) = -6-2$

$5x -2y-4x+2y= -6-2$

Combine like terms;

$x = -8$

Substitute the value of x in [2] we get;

2(-8)-y =1

-16-y = 1

Add 16 both sides we get;

-y = 17

y =-17

Answer; Solution for the given system of equation is (-8, -17)

Verify:

Substitute the value of x = -8 and y = -17 in the system of equation;

5x -2y = -6

5(-8)-2(-17) = -6

-40+34 = -6

-6 = -6 True

2x-y =1

2(-8)-(-17) = 1

-16+17 = 1

1 = 1 True.

(b)

Given the system of equation:

$2x+3y=432$ .....[1]

$5x-2y=16$ .....[2]

Multiply equation [2] by 3 and equation [1] by 2 we get;

$15x -6y = 48$ ......[3]

$4x +6y = 864$ ......[4]

Add equation [3] and [4] to eliminate y and solve for x we have;

$15x -6y+4x+6y =48+864$

Combine like terms;

$19x = 912$

Divide both sides by 19 we get

x = 48

Substitute the value of x in [2] we get;

5(48)-2y=16

240 -2y = 16

Subtract 240 from both sides we get;

-2y =-224

Divide both sides by -2 we get

y =112

Answer: Solution for the given system of equation is (48, 112)

Verify:

Substitute the value of x = 48 and y = 112 in the system of equation;

$2x+3y=432$

$2(48)+3(112)=432$

$96+33+3y=432$

$432=432$ true

$5x-2y=16$

$5(48)-2(112)=16$

$240-224=16$

16 = 16 true

6 0

3 years ago

In a triangle measure of angle A=50 what statement is true about the measure of angle c

kaheart [24]

38282299939392992919191

8 0

3 years ago

Seventeen and eighty-eight thousand write words I a deciaml

-BARSIC- [3]

Seventeen and eighty-eight thousandths

we have that

Seventeen ------> 17

eighty-eight thousandths ------->0.088

17+0.088=17.088

<h2>answer is 17.088</h2>

7 0

1 year ago

In kite WXYZ, measure of angle XWY=38° and measure of angle ZYW=15°

zlopas [31]

Answer:

∠ WXY = 127°

Step-by-step explanation:

We know that for a given kite shape has different vertex angles but the two non-vertex angles are the same.

Now, we are given a kite WXYZ and angle ∠ XWY = 38° and angle ∠ ZYW = 15°.

Therefore, the two vertex angles are (38 ×2) = 76° and (15 × 2) = 30° respectively.

Now, the sum of two non-vertex angles = 360° - 76° - 30° = 254°

And each of non-vertex angle is = $\frac{254}{2}$ = 127°

{Since the two non-vertex angles are the same.}

Now, ∠ WXY is a non-vertex angle of the kite.

Hence, ∠ WXY = 127° (Answer)

6 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B54%7D%20" id="TexFormula1" title=" \sqrt[3]{54} " alt=" \sqrt[3]{54} " ali

Nadya [2.5K]

Answer:

find the cubic root of the number given

3 0

3 years ago